Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Mustafa Kudu"'
Autor:
Mustafa Kudu
Publikováno v:
Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-12 (2018)
Abstract We consider a uniform finite difference method on a Bakhvalov mesh to solve a quasilinear first order parameterized singularly perturbed problem with integral boundary conditions. Uniform first order error estimates in the discrete maximum n
Externí odkaz:
https://doaj.org/article/7a69e5f14ff64f84b048b71b6ac5da97
Publikováno v:
Journal of Applied Mathematics, Vol 2004, Iss 3, Pp 191-199 (2004)
We study uniform finite-difference method for solving first-order singularly perturbed boundary value problem (BVP) depending on a parameter. Uniform error estimates in the discrete maximum norm are obtained for the numerical solution. Numerical resu
Externí odkaz:
https://doaj.org/article/64b2013af34f4c82b884814716106879
Publikováno v:
Mediterranean Journal of Mathematics. 20
In this paper, we study a uniform finite difference method for the first-order singularly perturbed Volterra integro-differential problem depending on a parameter. We prove that the method is uniform second-order convergent except for a logarithmic f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3169f0616677d4f2e50ab6b062a07cf
https://doi.org/10.1007/s00009-023-02360-y
https://doi.org/10.1007/s00009-023-02360-y
Publikováno v:
Mediterranean Journal of Mathematics. 18
In this paper, the homogeneous type fitted difference scheme for solving singularly perturbed problem depending on a parameter with integral boundary condition is proposed. We prove that the method is $$O(N^{-2}\ln N)$$ uniform convergent on Shishkin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20747e72748f81177e76f7cd8323d1b7
https://doi.org/10.1007/s00009-021-01758-w
https://doi.org/10.1007/s00009-021-01758-w
The boundary-value problem for a second order singularly perturbed Fredholm integro-differential equation was considered in this paper. For the numerical solution of this problem, we use an exponentially fitted difference scheme on a uniform mesh whi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::020a6a5311b7ddd292702b491f786de0
https://hdl.handle.net/20.500.11857/3113
https://hdl.handle.net/20.500.11857/3113
Publikováno v:
Journal of Computational and Applied Mathematics. 404:113894
In this paper, we consider a class of parameterized singularly perturbed problems with integral boundary condition. A finite difference scheme of hybrid type with an appropriate Shishkin mesh is suggested to solve the problem. We prove that the metho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd23a6f7621d46eaba7d7be38245c2db
https://doi.org/10.1016/j.cam.2021.113894
https://doi.org/10.1016/j.cam.2021.113894
Publikováno v:
Bull. Belg. Math. Soc. Simon Stevin 27, no. 1 (2020), 71-88
In this paper, we consider the linear first order singularly perturbed Fredholm integro-differential equation. For the solution of this problem, fitted difference scheme is constructed on a Shishkin mesh. The method is based on the method of integral
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e36e4bf8fea06777571bf6db41b1c321
https://projecteuclid.org/euclid.bbms/1590199305
https://projecteuclid.org/euclid.bbms/1590199305
Publikováno v:
Journal of Computational and Applied Mathematics. 308:379-390
KUDU, Mustafa/0000-0002-6610-0587 WOS: 000381546600025 We consider the singularly perturbed initial value problem for a linear first order Volterra integro-differential equation with delay. Our purpose is to construct and analyse a numerical method w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2cd0e8c1210df9dda52fa79adc36c52a
https://doi.org/10.1016/j.cam.2016.06.018
https://doi.org/10.1016/j.cam.2016.06.018
Autor:
Mustafa Kudu, Ilhame Amirali
Publikováno v:
Journal of Applied Mathematics and Physics. :73-78
In this paper, we consider a parameterized singularly perturbed second order quasilinear boundary value problem. Asymptotic estimates for the solution and its first and second derivatives have been established. The theoretical estimates have been jus
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f23477348b51323eb018f367634d96b
https://doi.org/10.4236/jamp.2016.41011
https://doi.org/10.4236/jamp.2016.41011
Publikováno v:
Volume: 48, Issue: 5 1417-1429
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
This study is concerned with the finite-difference solution of singularly perturbed initial value problem for a linear first order Volterra integro-differential equation with delay. The method is based on the method of integral identities with the us
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f5216b0dc56452efe4634f17de26d19
https://dergipark.org.tr/tr/pub/hujms/issue/49321/629902
https://dergipark.org.tr/tr/pub/hujms/issue/49321/629902